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Finding the Fourth Proportional to 93,865.74, 140,711.13 and 31,492.50

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Solution

The fourth proportional to 93,865.74, 140,711.13 and 31,492.50 is: 47,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,865.74 : 140,711.13 = 31,492.50 : x
  2. Step 2: Convert to fraction form
    93,865.74/140,711.13 = 31,492.50/x
  3. Step 3: Cross multiply
    93,865.74x = 140,711.13 × 31,492.50
  4. Step 4: Simplify right side
    93,865.74x = 4,431,345,261.53
  5. Step 5: Solve for x
    x = 4,431,345,261.53/93,865.74
  6. Step 6: Final answer
    x = 47,209.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.